{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Updating priors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this notebook, I will show how it is possible to update the priors as new data becomes available. The example is a slightly modified version of the linear regression in the [Getting started with PyMC3](https://github.com/pymc-devs/pymc3/blob/master/docs/source/notebooks/getting_started.ipynb) notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running on PyMC3 v3.6\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "import pymc3 as pm\n",
    "from pymc3 import Model, Normal, Slice\n",
    "from pymc3 import sample\n",
    "from pymc3 import traceplot\n",
    "from pymc3.distributions import Interpolated\n",
    "from theano import as_op\n",
    "import theano.tensor as tt\n",
    "import numpy as np\n",
    "from scipy import stats\n",
    "\n",
    "plt.style.use('seaborn-darkgrid')\n",
    "print('Running on PyMC3 v{}'.format(pm.__version__))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generating data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initialize random number generator\n",
    "np.random.seed(93457)\n",
    "\n",
    "# True parameter values\n",
    "alpha_true = 5\n",
    "beta0_true = 7\n",
    "beta1_true = 13\n",
    "\n",
    "# Size of dataset\n",
    "size = 100\n",
    "\n",
    "# Predictor variable\n",
    "X1 = np.random.randn(size)\n",
    "X2 = np.random.randn(size) * 0.2\n",
    "\n",
    "# Simulate outcome variable\n",
    "Y = alpha_true + beta0_true * X1 + beta1_true * X2 + np.random.randn(size)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model specification"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Our initial beliefs about the parameters are quite informative (sigma=1) and a bit off the true values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (2 chains in 2 jobs)\n",
      "NUTS: [beta1, beta0, alpha]\n",
      "Sampling 2 chains: 100%|██████████| 3000/3000 [00:01<00:00, 2271.43draws/s]\n"
     ]
    }
   ],
   "source": [
    "basic_model = Model()\n",
    "\n",
    "with basic_model:\n",
    "    \n",
    "    # Priors for unknown model parameters\n",
    "    alpha = Normal('alpha', mu=0, sigma=1)\n",
    "    beta0 = Normal('beta0', mu=12, sigma=1)\n",
    "    beta1 = Normal('beta1', mu=18, sigma=1)\n",
    "    \n",
    "    # Expected value of outcome\n",
    "    mu = alpha + beta0 * X1 + beta1 * X2\n",
    "    \n",
    "    # Likelihood (sampling distribution) of observations\n",
    "    Y_obs = Normal('Y_obs', mu=mu, sigma=1, observed=Y)\n",
    "    \n",
    "    # draw 1000 posterior samples\n",
    "    trace = sample(1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x432 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "traceplot(trace);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to update our beliefs about the parameters, we use the posterior distributions, which will be used as the prior distributions for the next inference. The data used for each inference iteration has to be independent from the previous iterations, otherwise the same (possibly wrong) belief is injected over and over in the system, amplifying the errors and misleading the inference. By ensuring the data is independent, the system should converge to the true parameter values.\n",
    "\n",
    "Because we draw samples from the posterior distribution (shown on the right in the figure above), we need to estimate their probability density (shown on the left in the figure above). [Kernel density estimation](https://en.wikipedia.org/wiki/Kernel_density_estimation) (KDE) is a way to achieve this, and we will use this technique here. In any case, it is an empirical distribution that cannot be expressed analytically. Fortunately PyMC3 provides a way to use custom distributions, via `Interpolated` class."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def from_posterior(param, samples):\n",
    "    smin, smax = np.min(samples), np.max(samples)\n",
    "    width = smax - smin\n",
    "    x = np.linspace(smin, smax, 100)\n",
    "    y = stats.gaussian_kde(samples)(x)\n",
    "    \n",
    "    # what was never sampled should have a small probability but not 0,\n",
    "    # so we'll extend the domain and use linear approximation of density on it\n",
    "    x = np.concatenate([[x[0] - 3 * width], x, [x[-1] + 3 * width]])\n",
    "    y = np.concatenate([[0], y, [0]])\n",
    "    return Interpolated(param, x, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we just need to generate more data and build our Bayesian model so that the prior distributions for the current iteration are the posterior distributions from the previous iteration. It is still possible to continue using NUTS sampling method because `Interpolated` class implements calculation of gradients that are necessary for Hamiltonian Monte Carlo samplers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "traces = [trace]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (2 chains in 2 jobs)\n",
      "NUTS: [beta1, beta0, alpha]\n",
      "Sampling 2 chains: 100%|██████████| 3000/3000 [00:03<00:00, 988.14draws/s] \n",
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (2 chains in 2 jobs)\n",
      "NUTS: [beta1, beta0, alpha]\n",
      "Sampling 2 chains: 100%|██████████| 3000/3000 [00:02<00:00, 1073.76draws/s]\n",
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (2 chains in 2 jobs)\n",
      "NUTS: [beta1, beta0, alpha]\n",
      "Sampling 2 chains: 100%|██████████| 3000/3000 [00:02<00:00, 1155.98draws/s]\n",
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (2 chains in 2 jobs)\n",
      "NUTS: [beta1, beta0, alpha]\n",
      "Sampling 2 chains: 100%|██████████| 3000/3000 [00:03<00:00, 990.05draws/s] \n",
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (2 chains in 2 jobs)\n",
      "NUTS: [beta1, beta0, alpha]\n",
      "Sampling 2 chains: 100%|██████████| 3000/3000 [00:02<00:00, 1117.98draws/s]\n",
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (2 chains in 2 jobs)\n",
      "NUTS: [beta1, beta0, alpha]\n",
      "Sampling 2 chains: 100%|██████████| 3000/3000 [00:02<00:00, 1073.99draws/s]\n",
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (2 chains in 2 jobs)\n",
      "NUTS: [beta1, beta0, alpha]\n",
      "Sampling 2 chains: 100%|██████████| 3000/3000 [00:02<00:00, 1073.40draws/s]\n",
      "The acceptance probability does not match the target. It is 0.8827037014950102, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (2 chains in 2 jobs)\n",
      "NUTS: [beta1, beta0, alpha]\n",
      "Sampling 2 chains: 100%|██████████| 3000/3000 [00:02<00:00, 1045.30draws/s]\n",
      "The number of effective samples is smaller than 25% for some parameters.\n",
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (2 chains in 2 jobs)\n",
      "NUTS: [beta1, beta0, alpha]\n",
      "Sampling 2 chains: 100%|██████████| 3000/3000 [00:02<00:00, 887.64draws/s] \n",
      "The estimated number of effective samples is smaller than 200 for some parameters.\n",
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (2 chains in 2 jobs)\n",
      "NUTS: [beta1, beta0, alpha]\n",
      "Sampling 2 chains: 100%|██████████| 3000/3000 [00:02<00:00, 1094.44draws/s]\n"
     ]
    }
   ],
   "source": [
    "for _ in range(10):\n",
    "\n",
    "    # generate more data\n",
    "    X1 = np.random.randn(size)\n",
    "    X2 = np.random.randn(size) * 0.2\n",
    "    Y = alpha_true + beta0_true * X1 + beta1_true * X2 + np.random.randn(size)\n",
    "\n",
    "    model = Model()\n",
    "    with model:\n",
    "        # Priors are posteriors from previous iteration\n",
    "        alpha = from_posterior('alpha', trace['alpha'])\n",
    "        beta0 = from_posterior('beta0', trace['beta0'])\n",
    "        beta1 = from_posterior('beta1', trace['beta1'])\n",
    "\n",
    "        # Expected value of outcome\n",
    "        mu = alpha + beta0 * X1 + beta1 * X2\n",
    "\n",
    "        # Likelihood (sampling distribution) of observations\n",
    "        Y_obs = Normal('Y_obs', mu=mu, sigma=1, observed=Y)\n",
    "                \n",
    "        # draw 10000 posterior samples\n",
    "        trace = sample(1000)\n",
    "        traces.append(trace)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Posterior distributions after 11 iterations.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x144 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x144 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x144 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print('Posterior distributions after ' + str(len(traces)) + ' iterations.')\n",
    "cmap = mpl.cm.autumn\n",
    "for param in ['alpha', 'beta0', 'beta1']:\n",
    "    plt.figure(figsize=(8, 2))\n",
    "    for update_i, trace in enumerate(traces):\n",
    "        samples = trace[param]\n",
    "        smin, smax = np.min(samples), np.max(samples)\n",
    "        x = np.linspace(smin, smax, 100)\n",
    "        y = stats.gaussian_kde(samples)(x)\n",
    "        plt.plot(x, y, color=cmap(1 - update_i / len(traces)))\n",
    "    plt.axvline({'alpha': alpha_true, 'beta0': beta0_true, 'beta1': beta1_true}[param], c='k')\n",
    "    plt.ylabel('Frequency')\n",
    "    plt.title(param)\n",
    "    \n",
    "plt.tight_layout();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can re-execute the last two cells to generate more updates.\n",
    "\n",
    "What is interesting to note is that the posterior distributions for our parameters tend to get centered on their true value (vertical lines), and the distribution gets thiner and thiner. This means that we get more confident each time, and the (false) belief we had at the beginning gets flushed away by the new data we incorporate."
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
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